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Finding the Fourth Proportional to 2,599.59, 3,899.43 and 955.26

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Solution

The fourth proportional to 2,599.59, 3,899.43 and 955.26 is: 1,432.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599.59 : 3,899.43 = 955.26 : x
  2. Step 2: Convert to fraction form
    2,599.59/3,899.43 = 955.26/x
  3. Step 3: Cross multiply
    2,599.59x = 3,899.43 × 955.26
  4. Step 4: Simplify right side
    2,599.59x = 3,724,969.50
  5. Step 5: Solve for x
    x = 3,724,969.50/2,599.59
  6. Step 6: Final answer
    x = 1,432.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.